Question

Sort the quotient of the following divisions in ascending order from top to bottom.

• A. 4(x+1)4x+4
• B. 2x36x3
• C. 7xx
• D. 4x2+2x2x2

Answer 1

$\frac{4(x+1)}{4x+4}=\frac{4\times (x+1)}{4\times (x+1)}=1$

$\frac{2x^3}{6x^3}=\frac{2\times x\times x\times x}{2\times 3\times x\times x\times x}=\frac{1}{3}$

$\frac{7x}{x}=\frac{7\times x}{x}=7$

$\frac{4x^2+2x^2}{x^2}=\frac{x^2(4+2)}{x^2}=6$

So, correct order is $\frac{2x^3}{6x^3}<\frac{4(x+1)}{4x+4}<\frac{4x^2+2x^2}{x^2}<\frac{7x}{x}$